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Weyl semimetals harbor unusual surface states known as Fermi arcs, which are essentially disjoint segments of a two dimensional Fermi surface. We describe a prescription for obtaining Fermi arcs of arbitrary shape and connectivity by…

Strongly Correlated Electrons · Physics 2012-11-08 Pavan Hosur

We define and study a three dimensional lattice model which displays a Weyl semi-metallic phase. This model consists of coupled layers of quantum (anomalous) Hall insulators. The Weyl semi-metallic phase appears between a resulting quantum…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Pierre Delplace , Jian Li , David Carpentier

In the recently discovered Weyl semimetals, the Fermi surface may feature disjoint, open segments -- the so-called Fermi arcs -- associated with topological states bound to exposed crystal surfaces. Here we show that the collective dynamics…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Justin C. W. Song , Mark S. Rudner

Three-dimensional Weyl semimetals have pairs of topologically protected Weyl nodes, whose projections onto the surface Brillouin zone are the end points of zero energy surface states called Fermi arcs. At the endpoints of the Fermi arcs,…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Faruk Abdulla , Sumathi Rao , Ganpathy Murthy

The Fermi arcs of topological surface states in the three-dimensional multi-Weyl semimetals on surfaces by a continuum model are investigated systematically. We calculated analytically the energy spectra and wave function for bulk…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Y. C. Liu , V. Wang , J. B. Lin , J. Nara

Fermi arcs, i.e., surface states connecting topologically-distinct Weyl points, represent a paradigmatic manifestation of the topological aspects of Weyl physics. Here, we investigate a light-matter interface based on the photonic…

Surface Fermi arcs are the most prominent manifestation of the topological nature of Weyl semimetals. In the presence of a static magnetic field oriented perpendicular to the sample surface, their existence leads to unique inter-surface…

Mesoscale and Nanoscale Physics · Physics 2015-12-22 Yuval Baum , Erez Berg , S. A. Parameswaran , Ady Stern

We present a semiclassical explanation for the morphology of the surface Fermi arcs of Weyl semimetals. Viewing the surface states as a two-dimensional Fermi gas subject to band bending and Berry curvatures, we show that it is the…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Jiajia Huang , Luyang Wang , Dao-Xin Yao

Three dimensional Weyl semimetals exhibit open Fermi arcs on their sample surfaces connecting the projection of bulk Weyl points of opposite chirality. The canonical interpretation of these surfaces states is in terms of chiral edge modes…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Valerio Peri , Sebastian D. Huber

The hallmark of Weyl semimetals is the existence of open constant-energy contours on their surface -- the so-called Fermi arcs -- connecting Weyl points. Here, we show that for time-reversal symmetric realizations of Weyl semimetals these…

Mesoscale and Nanoscale Physics · Physics 2017-08-21 Alexander Lau , Klaus Koepernik , Jeroen van den Brink , Carmine Ortix

Fermi arcs are one of the characteristic features of Weyl semimetals, appearing as surface states that connect Weyl points with opposite chiralities. It has also been suggested that Fermi arcs can emerge in the bulk due to the interplay…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 Yuta Furusho , Tomonari Meguro , Kentaro Nomura

We propose an analytical model describing Fermi arc surface states observed in the recent investigations of Weyl semimetals. The effective two-valley Hamiltonian is supplemented by the boundary conditions taking into account both the…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Zh. A. Devizorova , V. A. Volkov

Fermi arc surface states, the manifestation of the bulk-edge correspondence in Weyl semimetals, have attracted much research interest. In contrast to the conventional Fermi loop, the disconnected Fermi arcs provide an exotic 2D system for…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Xi-Rong Chen , Guangze Chen , Yue Zheng , Wei Chen , D. Y. Xing

We analyze junctions between noninteracting fermionic topological phases. A closed-form condition for the existence of localized modes at the interface is derived using the transfer matrix approach. These analytical conditions as well as…

Mesoscale and Nanoscale Physics · Physics 2018-02-23 Vatsal Dwivedi

One of the main features of Weyl semimetals is the existence of Fermi arc surface states at their surface, which cannot be realized in pure two-dimensional systems in the absence of many-body interactions. Due to the gapless bulk of the…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Guangze Chen , Oded Zilberberg , Wei Chen

Weyl semimetals exhibit exotic Fermi-arc surface states, which strongly affect their electromagnetic properties. We derive analytical expressions for all components of the composite density-spin response tensor for the surfaces states of a…

Mesoscale and Nanoscale Physics · Physics 2020-04-07 Sayandip Ghosh , Carsten Timm

We study dispersions of Fermi arcs in the Weyl semimetal phase by constructing a simple effective model. We calculate how the surface Fermi-arc dispersions for the top- and bottom surfaces merge into the bulk Dirac cones in the Weyl…

Mesoscale and Nanoscale Physics · Physics 2014-06-30 Ryo Okugawa , Shuichi Murakami

We present a physical scenario in which both Fermi arcs and two-dimensional gapless Dirac states coexist as boundary modes at the same two-dimensional surface. This situation is realized in topological insulator-Weyl semimetal interfaces in…

Mesoscale and Nanoscale Physics · Physics 2015-04-29 Adolfo G. Grushin , Jörn W. F. Venderbos , Jens H. Bardarson

The discovery of topological phases introduces new perspectives and platforms for various interesting physics originally investigated in quantum context and then, on an equal footing, in classic wave systems, such as photonics, acoustics…

The quantum Hall effect is usually observed in 2D systems. We show that the Fermi arcs can give rise to a distinctive 3D quantum Hall effect in topological semimetals. Because of the topological constraint, the Fermi arc at a single surface…

Mesoscale and Nanoscale Physics · Physics 2017-10-05 C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie
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